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Finding the Third Proportional to 133,919,004 and 189,547,537.50

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Solution

The third proportional to 133,919,004 and 189,547,537.50 is: 268,283,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,919,004 : 189,547,537.50 = 189,547,537.50 : x
  2. Step 2: Convert to fraction form
    133,919,004/189,547,537.50 = 189,547,537.50/x
  3. Step 3: Cross multiply
    133,919,004x = 189,547,537.50 × 189,547,537.50
  4. Step 4: Simplify right side
    133,919,004x = 35,928,268,972,313,908
  5. Step 5: Solve for x
    x = 35,928,268,972,313,908/133,919,004
  6. Step 6: Final answer
    x = 268,283,573.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.